Respuesta :
The answer would be option(A) and (E) are show a geometric series.
A. 2 + 3 + 4.5 + 6.75 + …
E. 8 + 4 + 2 + 1 + …
What is a Geometric Series?
Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.
The standard equation for geometric series as:
Tₙ = a₁ rⁿ⁻¹
where a₁ is the first term and r is the common ratio.
A. 2 + 3 + 4.5 + 6.75 + …
Here, first term a₁ = 2 ,
The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5
So, this is a geometric series.
E. 8 + 4 + 2 + 1 + …
Here, first term a₁ = 8 ,
The common ratio r = 4/8 = 2/4 = 1/2 = 0.5
So, this is a geometric series.
Hence, the option(A) and (E) are show a geometric series.
Learn more about Geometric Series here:
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